This question describes a combinatorial game based on commutative algebra where the game state is a ring and a move is taking the quotient by a nonzero element:

A Game on Noetherian Rings

The hard problem is to either determine which positions are winning and which are losing, or to show that the previous problem has no solution.

This question describes a combinatorial game based on commutative algebra where the game state is a ring and a move is taking the quotient by a nonzero element:

A Game on Noetherian Rings

The hard problem is to either determine which positions are winning and which are losing, or to show that the previous problem has no solution.